Search a number
-
+
48081612071376 = 2433132658580047
BaseRepresentation
bin10101110111010110111110…
…11010000110000111010000
320022020120001012211012101000
422323223133122012013100
522300232120142241001
6250132215422142000
713061532112162152
oct1273533732060720
9208216035735330
1048081612071376
111435832a590484
125486656721900
1320aa0cc294b00
14bc323ba4aad2
15585aa6936a86
hex2bbadf6861d0

48081612071376 has 120 divisors (see below), whose sum is σ = 149444984492160. Its totient is φ = 14794342153344.

The previous prime is 48081612071357. The next prime is 48081612071377. The reversal of 48081612071376 is 67317021618084.

48081612071376 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 1 + 61 + 207 + 1 + 376 = 666.

It is a super-3 number, since 3×480816120713763 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081612071377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329217016 + ... + 329363031.

It is an arithmetic number, because the mean of its divisors is an integer number (1245374870768).

Almost surely, 248081612071376 is an apocalyptic number.

It is an amenable number.

48081612071376 is an abundant number, since it is smaller than the sum of its proper divisors (101363372420784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48081612071376 is a wasteful number, since it uses less digits than its factorization.

48081612071376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658580090 (or 658580065 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 48081612071376 in words is "forty-eight trillion, eighty-one billion, six hundred twelve million, seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 18252 24336 36504 73008 658580047 1317160094 1975740141 2634320188 3951480282 5268640376 5927220423 7902960564 8561540611 10537280752 11854440846 15805921128 17123081222 17781661269 23708881692 25684621833 31611842256 34246162444 35563322538 47417763384 51369243666 68492324888 71126645076 77053865499 94835526768 102738487332 111300027943 136984649776 142253290152 154107730998 205476974664 222600055886 231161596497 284506580304 308215461996 333900083829 410953949328 445200111772 462323192994 616430923992 667800167658 890400223544 924646385988 1001700251487 1232861847984 1335600335316 1780800447088 1849292771976 2003400502974 2671200670632 3005100754461 3698585543952 4006801005948 5342401341264 6010201508922 8013602011896 12020403017844 16027204023792 24040806035688 48081612071376